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Andrew M Saxe

26 accepted papers

2026

Comparing the learning dynamics of in-context learning and fine-tuning in language models

ICLR 2026poster

Pretrained language models can acquire novel tasks either through in-context learning (ICL)---adapting behavior via activations without weight updates---or through supervised fine-tuning (SFT), where parameters are explicitly updated. Prior work has reported differences in their generalization perfo…

Cited by 0SourceScholar
2026

Saddle-to-Saddle Dynamics Explains A Simplicity Bias Across Neural Network Architectures

ICLR 2026poster

Neural networks trained with gradient descent often learn solutions of increasing complexity over time, a phenomenon known as simplicity bias. Despite being widely observed across architectures, existing theoretical treatments lack a unifying framework. We present a theoretical framework that explai…

Cited by 0SourceScholar
2025

A Theory of Initialisation's Impact on Specialisation

ICLR 2025poster

Prior work has demonstrated a consistent tendency in neural networks engaged in continual learning tasks, wherein intermediate task similarity results in the highest levels of catastrophic interference. This phenomenon is attributed to the network's tendency to reuse learned features across tasks. H…

Cited by 0SourcePDFScholar
2025

From Lazy to Rich: Exact Learning Dynamics in Deep Linear Networks

ICLR 2025poster

Biological and artificial neural networks develop internal representations that enable them to perform complex tasks. In artificial networks, the effectiveness of these models relies on their ability to build task specific representation, a process influenced by interactions among datasets, architec…

Cited by 5SourcePDFScholar
2025

Make Haste Slowly: A Theory of Emergent Structured Mixed Selectivity in Feature Learning ReLU Networks

ICLR 2025poster

In spite of finite dimension ReLU neural networks being a consistent factor behind recent deep learning successes, a theory of feature learning in these models remains elusive. Currently, insightful theories still rely on assumptions including the linearity of the network computations, unstructured…

Cited by 1SourcePDFScholar
2025

Memory by accident: a theory of learning as a byproduct of network stabilization

NeurIPS 2025poster

Synaptic plasticity is widely considered to be crucial to the brain’s ability to learn throughout life. Decades of theoretical work have therefore been invested in deriving and designing biologically plausible learning rules capable of granting various memory abilities to neural networks. Most of th…

Cited by 0SourceScholar
2025

Not all solutions are created equal: An analytical dissociation of functional and representational similarity in deep linear neural networks

ICML 2025spotlight

A foundational principle of connectionism is that perception, action, and cognition emerge from parallel computations among simple, interconnected units that generate and rely on neural representations. Accordingly, researchers employ multivariate pattern analysis to decode and compare the neural co…

Cited by 0SourcePDFScholar
2025

Strategy Coopetition Explains the Emergence and Transience of In-Context Learning

ICML 2025oral

In-context learning (ICL) is a powerful ability that emerges in transformer models, enabling them to learn from context without weight updates. Recent work has established emergent ICL as a transient phenomenon that can sometimes disappear after long training times. In this work, we sought a mechani…

2025

Training Dynamics of In-Context Learning in Linear Attention

ICML 2025spotlight

While attention-based models have demonstrated the remarkable ability of in-context learning (ICL), the theoretical understanding of how these models acquired this ability through gradient descent training is still preliminary. Towards answering this question, we study the gradient descent dynamics…

Cited by 1SourcePDFScholar
2024

Flexible task abstractions emerge in linear networks with fast and bounded units

NeurIPS 2024spotlight

Animals survive in dynamic environments changing at arbitrary timescales, but such data distribution shifts are a challenge to neural networks. To adapt to change, neural systems may change a large number of parameters, which is a slow process involving forgetting past information. In contrast, anim…

2024

Get rich quick: exact solutions reveal how unbalanced initializations promote rapid feature learning

NeurIPS 2024spotlight

While the impressive performance of modern neural networks is often attributed to their capacity to efficiently extract task-relevant features from data, the mechanisms underlying this *rich feature learning regime* remain elusive, with much of our theoretical understanding stemming from the opposin…

2024

Nonlinear dynamics of localization in neural receptive fields

NeurIPS 2024spotlight

Localized receptive fields—neurons that are selective for certain contiguous spatiotemporal features of their input—populate early sensory regions of the mammalian brain. Unsupervised learning algorithms that optimize explicit sparsity or independence criteria replicate features of these localized r…

2024

Tilting the Odds at the Lottery: the Interplay of Overparameterisation and Curricula in Neural Networks

ICML 2024poster

A wide range of empirical and theoretical works have shown that overparameterisation can amplify the performance of neural networks. According to the lottery ticket hypothesis, overparameterised networks have an increased chance of containing a sub-network that is well-initialised to solve the task…

Cited by 1SourcePDFScholar
2024

Understanding Unimodal Bias in Multimodal Deep Linear Networks

ICML 2024poster

Using multiple input streams simultaneously to train multimodal neural networks is intuitively advantageous but practically challenging. A key challenge is unimodal bias, where a network overly relies on one modality and ignores others during joint training. We develop a theory of unimodal bias with…

2024

What needs to go right for an induction head? A mechanistic study of in-context learning circuits and their formation

ICML 2024spotlight

In-context learning is a powerful emergent ability in transformer models. Prior work in mechanistic interpretability has identified a circuit element that may be critical for in-context learning – the induction head (IH), which performs a match-and-copy operation. During training of large transforme…

2024

Why Do Animals Need Shaping? A Theory of Task Composition and Curriculum Learning

ICML 2024poster

Diverse studies in systems neuroscience begin with extended periods of curriculum training known as ‘shaping’ procedures. These involve progressively studying component parts of more complex tasks, and can make the difference between learning a task quickly, slowly or not at all. Despite the importa…

Cited by 8SourcePDFScholar
2023

The Transient Nature of Emergent In-Context Learning in Transformers

NeurIPS 2023poster

Transformer neural networks can exhibit a surprising capacity for in-context learning (ICL) despite not being explicitly trained for it. Prior work has provided a deeper understanding of how ICL emerges in transformers, e.g. through the lens of mechanistic interpretability, Bayesian inference, or b…

2022

An Analytical Theory of Curriculum Learning in Teacher-Student Networks

NeurIPS 2022accept

In animals and humans, curriculum learning---presenting data in a curated order---is critical to rapid learning and effective pedagogy. A long history of experiments has demonstrated the impact of curricula in a variety of animals but, despite its ubiquitous presence, a theoretical understandin…

Cited by 28SourcePDFScholar
2022

Exact learning dynamics of deep linear networks with prior knowledge

NeurIPS 2022accept

Learning in deep neural networks is known to depend critically on the knowledge embedded in the initial network weights. However, few theoretical results have precisely linked prior knowledge to learning dynamics. Here we derive exact solutions to the dynamics of learning with rich prior knowledge i…

Cited by 42SourcePDFScholar
2019

Dynamics of stochastic gradient descent for two-layer neural networks in the teacher-student setup

NeurIPS 2019oral

Deep neural networks achieve stellar generalisation even when they have enough parameters to easily fit all their training data. We study this phenomenon by analysing the dynamics and the performance of over-parameterised two-layer neural networks in the teacher-student setup, where one network, the…

2018

Hierarchical Subtask Discovery with Non-Negative Matrix Factorization

ICLR 2018poster

Hierarchical reinforcement learning methods offer a powerful means of planning flexible behavior in complicated domains. However, learning an appropriate hierarchical decomposition of a domain into subtasks remains a substantial challenge. We present a novel algorithm for subtask discovery, based on…

Cited by 12SourcePDFScholar